FIN3701
ASSIGNMENT 2
SEMESTER 1 OF 2025
UNIQUE NUMBER: 340720
,FIN3701 ASSIGNMENT 2 SEMESTER 1 OF 2025
UNIQUE NUMBER: 340720
DUE DATE: 24 APRIL 2025
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,QUESTION 1. [20 marks]
REQUIRED:
1.1 Calculate the WACC associated with each range of financing/break-point. (18 marks)
Breakpoint of debt = R160 000/0.40 = R400 000
Breakpoint of equity = R425 000/0.60 = R708 333
Range (R0 – 425 000):
Cost of long-term debt (YTM)
Par value = R1 000
Coupon rate = 8% annually → PMT = R80 per year
Term = 10 years → N = 10
Discount = 5% → Issued at 95% of par = R950
Flotation cost = R20
Net proceeds (PV) = R950 - R20 = R930
FV (redemption at maturity) = R1 000
So the components are:
FV = R1 000
N = 10
PV = -R930 (cash inflow for the company)
PMT = R80
Comp: I/YR (9.10)
After-tax cost of debt = Cost of debt × (1−Tax rate)
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,After-tax cost = 9.10% × (1 − 0.30)
= 9.10% × 0.70 = 6.37%
Cost Of Equity
Given:
Dividend (D₁): R10 (assumed to be next year’s dividend)
Growth rate (g): 3% or 0.03
Net proceeds (P₀) after flotation costs: R87.30
Par value: R90
Flotation cost = 3% of R90 = R2.70
(This checks out, since R90 - R2.70 = R87.30)
Formula – Cost of Equity via DDM with flotation:
( )
( )
Therefore, the cost of equity is approximately 14.44%.
Weighted Average Cost of Capital (WACC) for MathethePharm:
The optimal capital structure weights are given as:
( )
( )
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, The formula for WACC is:
( ) ( )
Where:
( ) ( )
Range (R400 000 – R708 333):
Additional funds: after-tax cost = 10% (given)
Cost of equity
( ) ( )
Range (R708 333 and above):
Additional funds: after-tax cost = 10% (given)
Additional funds:
We are given:
( )
Expected dividend next year:
( )
( )
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ASSIGNMENT 2
SEMESTER 1 OF 2025
UNIQUE NUMBER: 340720
,FIN3701 ASSIGNMENT 2 SEMESTER 1 OF 2025
UNIQUE NUMBER: 340720
DUE DATE: 24 APRIL 2025
1|Page
,QUESTION 1. [20 marks]
REQUIRED:
1.1 Calculate the WACC associated with each range of financing/break-point. (18 marks)
Breakpoint of debt = R160 000/0.40 = R400 000
Breakpoint of equity = R425 000/0.60 = R708 333
Range (R0 – 425 000):
Cost of long-term debt (YTM)
Par value = R1 000
Coupon rate = 8% annually → PMT = R80 per year
Term = 10 years → N = 10
Discount = 5% → Issued at 95% of par = R950
Flotation cost = R20
Net proceeds (PV) = R950 - R20 = R930
FV (redemption at maturity) = R1 000
So the components are:
FV = R1 000
N = 10
PV = -R930 (cash inflow for the company)
PMT = R80
Comp: I/YR (9.10)
After-tax cost of debt = Cost of debt × (1−Tax rate)
2|Page
,After-tax cost = 9.10% × (1 − 0.30)
= 9.10% × 0.70 = 6.37%
Cost Of Equity
Given:
Dividend (D₁): R10 (assumed to be next year’s dividend)
Growth rate (g): 3% or 0.03
Net proceeds (P₀) after flotation costs: R87.30
Par value: R90
Flotation cost = 3% of R90 = R2.70
(This checks out, since R90 - R2.70 = R87.30)
Formula – Cost of Equity via DDM with flotation:
( )
( )
Therefore, the cost of equity is approximately 14.44%.
Weighted Average Cost of Capital (WACC) for MathethePharm:
The optimal capital structure weights are given as:
( )
( )
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, The formula for WACC is:
( ) ( )
Where:
( ) ( )
Range (R400 000 – R708 333):
Additional funds: after-tax cost = 10% (given)
Cost of equity
( ) ( )
Range (R708 333 and above):
Additional funds: after-tax cost = 10% (given)
Additional funds:
We are given:
( )
Expected dividend next year:
( )
( )
4|Page